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Finding the Fourth Proportional to 375,674.04, 518,429.10 and 205,907.64

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Solution

The fourth proportional to 375,674.04, 518,429.10 and 205,907.64 is: 284,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,674.04 : 518,429.10 = 205,907.64 : x
  2. Step 2: Convert to fraction form
    375,674.04/518,429.10 = 205,907.64/x
  3. Step 3: Cross multiply
    375,674.04x = 518,429.10 × 205,907.64
  4. Step 4: Simplify right side
    375,674.04x = 106,748,512,488.32
  5. Step 5: Solve for x
    x = 106,748,512,488.32/375,674.04
  6. Step 6: Final answer
    x = 284,151.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.